Find the x- and y-intercepts of the graph of the function f (x) = -2 |x – 3| + 2. Enter your answers as points, (a, b).

Q: Find the graph of the function y=x^3-3x^2+2x

A: Explanation of the answer is as follows

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: Use the graph of y=f(x) to answer the following. 3+ 16 -2 -1 -2- -3-

A: we can find the values of 'x' for f(x) with the help of the graph.

Q: Use the graph of f(x) = x2 to write an equation for the function represented by (a) y -2 -2

A:

Q: What are the x-intercept(s) of the function? y = x2 – 2x +1

A: The given function is y=x2-2x+1

Q: The line y= -3x+b is tangent to the function y=x3-3x2. What is the value of b? -2 -1 1 2

A: At the point of tangency the slope of the curve and that of the line should be equal. Slope of the…

Q: The graph of a function y=f(x) can have more than one of which type of intercept

A: Given query is to find which intercept can be more than one.

Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: Find the slope of f(x) = -2x² + 2x + 3 at (2, – 1). Use a graphing utility and round to the nearest…

A: Consider the provided function and the point, fx=-2x2+2x+3   at 2,-1 Find the slope of the function.…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

A:

Q: S-x-1 x-2

A: Given function

Q: Sketch the graph of y = f(2x) and y = f(x), where f(x) = \x| +1

A: The figure below shows the graph of y=f(2x)=2|x| + 1.

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: Use the graph of y =f(x) to answer the following. 2- -1 -2

A: The domain of the graph consists of all the I/P values shown on the x axisThe range is the set of…

Q: snip

A: Given function is fx=ax2+bx+c, where a≠0. To find the x-coordinate of the vertex. Solution: Vertex…

Q: f(x) = -(x + 1).

A:

Q: Find the x-intercepts of the graph of the function y = – x² – 6x + 3 6土V24 Ox = - 2 6土V48 O x = -2…

A: We have to find the x intercept of given function.

Q: The y-intercept of the function is

A:

Q: Find the y-intercept of the following function. f(x) = 10x² + 23x – 42 Give your answer as an…

A: Given f(x) = 10x2+23x-42We find y-intercept

Q: line to the graph of y = f(x) at a = 5.

A: Given: -The equation of the tangent line to the curve y = f(x) at the point where a=5 is y=9x-4. To…

Q: Use the graph of y=f(x) to answer the following. y 4. 3+ 2+ -3 -2 3 -2- -3- -1

A: We can find the domain and range as below.

Q: Use the graph of the function f(x) = 0.5x +1 to find the value of y when x = 4. *

A: Given :            f(x) =0.5x + 1        Let y = f(x) = 0.5x + 1 ...(1)    To find:…

Q: Find the points on the graph of the function that are closest to the given point y = x2 − 2,     (0,…

A:

Q: Find the graph of the equation. f (x) = | x – 2||

A: The function is given by f(x) = |x-2|

Q: Find the z- and y-intercepts of the graph of the function f (z) =-3|z+5+9. %3D Enter your answers as…

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: Find the points on the graph of the function that are closest to the given point y = x2,       (0,…

A:

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: Find the slope of the graph of the function at the given point. f(x) = V8 - x3, (-2, 4) f'(-2) =

A:

Q: Use the graph of y = f(x) to solve each equation. f(x) = −1 f(x) = 0 f(x) = 2

A:

Q: Determine the point(s) at which the graph of -7x f(x) = 2x - 1

A: Given function is: fx=-7x2x-1 Differentiating f(x) with respect to x we get,…

Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

A:

Q: Use the graph of y = 3x to graph the function. f (x) = 3x + 5 + 2

A: y=3x

Q: Given the function f (x) (a + 5) + 8, What is the equation of the function written in the form y =…

A: Here a second digree quadratic function f(x) is given in the problem. We have to find the function…

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: Find the domain and the range of f.

A: Solution:-  The domain and the range of f.

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: Use the graphs of piecewise- linear function y=f(x) and the linear function y=g(x) to answer the…

A:

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: 6. Determine the x-intercept(s) and the y-intercept of the function f: R R, f(r) = 3x-2 and sketch…

A: See the attachment

Q: At what point does the graph of P(x) = (x+1)'(x-1) tangent to the x-axis? a. (0,0) b. (0,-1) c.…

A:

Q: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

A:

Q: Match each equation with its graph in a–f.; z2 - y2 - x2 = 1

A: Given: z2−y2−x2=1

Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4<x≤−12…

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

A:

Q: Find the extreme value of the function f(x,y) x + y3 - 3x - 12y + 20.

A: To find extreme points of the function f(x,y) we put fx=0 and fy=0. Then we put the extreme points…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.